Qwen2-Math 7B on 7.NS.A.1-fraction
Common Core Standard 7.NS.A.1-fraction
This standard covers the following:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).
Qwen2-Math 7B:
Reasoning: (74 / 63) + (91 / 78) = <<(74 / 63) + (91 / 78)=1.1666666666666667>>1.1666666666666667 ### Answer: 1.1666666666666667
Expected answer: 295/126
Correct? No
Problem: What is the result of adding 94/5 to 1/25?
Qwen2-Math 7B:
Reasoning: 94/5 + 1/25 = <<94/5+1/25=471/25>>471/25 ### Answer: 471/25
Expected answer: 471/25
Correct? Yes
Problem: If the sum from the previous problem is then added to 73/89, what is the final result?
Qwen2-Math 7B:
Reasoning: 471/25 + 73/89 = <<471/25+73/89=42044/2225>>42044/2225 ### Answer: 42044/2225
Expected answer: 43744/2225
Correct? No
Problem: If instead of adding 94/5 you had added 94/89 to 1/25 in the previous problem, what would have been the result?
Qwen2-Math 7B:
Reasoning: 94/89 + 1/25 = <<94/89+1/25=2421/2225>>2421/2225 ### Answer: 2421/2225
Expected answer: 2439/2225
Correct? No
Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: 49/8 - 48/20 = (49*5 - 48*2) / (8*5) = (245 - 96) / 40 = <<245-96=149>>149 / 40 = <<149/40=3.725>>3.725 ### Answer: 149/40
Expected answer: 149/40
Correct? Yes
Problem: Suppose we had made a mistake in the original problem and it was actually 48/14 we were to subtract from 49/8. What would the result have been in that case? Please answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: 49/8 - 48/14 = (49*7 - 48*4) / (8*7) = (343 - 192) / 56 = <<343-192=151>>151 / 56 = <<151/56=2.6964285714285716>>2.6964285714285716 ### Answer: 151/56
Expected answer: 151/56
Correct? Yes
Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).
Qwen2-Math 7B:
Reasoning: ((45 / 5) - (6 / 47)) = <<(45 / 5) - (6 / 47)=9-0.12766=8.87234>>8.87234
Expected answer: 417/47
Correct? No
Problem: What is the sum of 22/49 and 72/35? Provide your answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: The sum of 22/49 and 72/35 is (22/49) + (72/35) = <<(22/49)+(72/35)=106/175>>106/175. ### Answer: 106/175
Expected answer: 614/245
Correct? No
Problem: What is the result of (39 / 9) - (44 / 69)?
Qwen2-Math 7B:
Reasoning: (39 / 9) - (44 / 69) = <<39/9-44/69=3.3333333333333335-0.6410256410256411=2.6923076923076925>>2.6923076923076925
Expected answer: 85/23
Correct? No
Problem: Calculate the sum of 49/79 and 18/21.
Qwen2-Math 7B:
Reasoning: 49/79 + 18/21 = <<49/79+18/21=1.0050632911392405>>1.0050632911392405 ### Answer: 1.0050632911392405
Expected answer: 817/553
Correct? No
Problem: What is the sum of 95/46 and 65/31?
Qwen2-Math 7B:
Reasoning: The sum of 95/46 and 65/31 is (95*31 + 65*46)/(46*31) = <<95*31+65*46=4655>>4655/1426. ### Answer: 4655/1426
Expected answer: 5935/1426
Correct? No
Problem: What is the sum of 25 over 63 and 74 over 6?
Qwen2-Math 7B:
Reasoning: The sum of 25/63 and 74/6 is (25/63) + (74/6) = <<(25/63)+(74/6)=109/21>>109/21. ### Answer: 109/21
Expected answer: 802/63
Correct? No
Problem: What is the sum of 79/91 and 100/47?
Qwen2-Math 7B:
Reasoning: The sum of 79/91 and 100/47 is (79/91) + (100/47) = <<(79/91)+(100/47)=1.54>>1.54. ### Answer: 1.54
Expected answer: 12813/4277
Correct? No
Problem: What is the result of ((55 / 47) + (72 / 21))?
Qwen2-Math 7B:
Reasoning: ((55 / 47) + (72 / 21)) = <<(55 / 47) + (72 / 21)=1.1702127659574468+3.4285714285714284=4.6087841945288754>>4.6087841945288754 ### Answer: 4.6087841945288754
Expected answer: 1513/329
Correct? No
Problem: What is the sum of 86/62 and 99/41?
Qwen2-Math 7B:
Reasoning: The sum of 86/62 and 99/41 is (86/62) + (99/41) = <<(86/62)+(99/41)=1.41>>1.41.
Expected answer: 4832/1271
Correct? No
Problem: Calculate the sum of 87/88 and 24/13.
Qwen2-Math 7B:
Reasoning: The sum of 87/88 and 24/13 is 87/88 + 24/13 = <<87/88+24/13=1.0002272727272727>>1.0002272727272727. ### Answer: 1.0002272727272727
Expected answer: 3243/1144
Correct? No
Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.
Qwen2-Math 7B:
Reasoning: ((68 / 33) + (70 / 25)) = <<(68 / 33) + (70 / 25)=1.3333333333333333+2.8=4.133333333333333>>4.133333333333333. The answer in its simplest form is <<4.133333333333333=4.133333333333333>>4.133333333333333. ### Answer: 4.133333333333333
Expected answer: 802/165
Correct? No
Problem: What is the summation of 35/97 and 11/9? Express the result in simplest form.
Qwen2-Math 7B:
Reasoning: 35/97 + 11/9 = <<35/97+11/9=35/97+107/87=35*87/8469+107*97/8469=35*87+107*97/8469=3045+10339/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=13384/8469=
Expected answer: 1382/873
Correct? No
Problem: What is the result of subtracting 79/70 from 11/5?
Qwen2-Math 7B:
Reasoning: 11/5 - 79/70 = <<11/5-79/70=11/14>>11/14
Expected answer: 15/14
Correct? No
Problem: What is the sum of 68/16 and 52/78?
Qwen2-Math 7B:
Reasoning: 68/16 = <<68/16=4.25>>4.25 52/78 = <<52/78=0.6666666666666666>>0.6666666666666666 68/16 + 52/78 = <<68/16+52/78=4.916666666666666>>4.916666666666666 ### Answer: 4.916666666666666
Expected answer: 59/12
Correct? No
Problem: Find the sum of 21/75 and 44/47.
Qwen2-Math 7B:
Reasoning: 21/75 + 44/47 = <<21/75+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/47=11/25+44/4
Expected answer: 1429/1175
Correct? No
Problem: Calculate the result of (77/5 + 4/11).
Qwen2-Math 7B:
Reasoning: (77/5 + 4/11) = <<(77/5 + 4/11)=15.818181818181817>>15.818181818181817
Expected answer: 867/55
Correct? No
Problem: What's the sum of 60/48 and 37/47?
Qwen2-Math 7B:
Reasoning: The sum of 60/48 and 37/47 is 60/48 + 37/47 = <<60/48+37/47=1.5625>>1.5625. ### Answer: 1.5625
Expected answer: 383/188
Correct? No
Problem: Solve ((14 / 72) + (25 / 6)).
Qwen2-Math 7B:
Reasoning: ((14 / 72) + (25 / 6)) = <<(14 / 72) + (25 / 6)=0.4583333333333333>>0.4583333333333333
Expected answer: 157/36
Correct? No
Problem: What is the sum of 84/97 and 25/2?
Qwen2-Math 7B:
Reasoning: The sum of 84/97 and 25/2 is 84/97 + 25/2 = <<84/97+25/2=1009/194>>1009/194.
Expected answer: 2593/194
Correct? No
Problem: What is the difference between the fractions 66/20 and 4/78?
Qwen2-Math 7B:
Reasoning: The difference between the fractions 66/20 and 4/78 is 66/20 - 4/78 = <<66/20-4/78=1.55>>1.55.
Expected answer: 1267/390
Correct? No
Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.
Qwen2-Math 7B:
Reasoning: 83/37 = <<83/37=2.243243243243243>>2.243243243243243 12/14 = <<12/14=0.8571428571428571>>0.8571428571428571 83/37 - 12/14 = <<83/37-12/14=1.386099386099386>>1.386099386099386 ### Answer: 1.386099386099386
Expected answer: 359/259
Correct? No
Problem: What is the sum of 95/57 and 28/80?
Qwen2-Math 7B:
Reasoning: The sum of 95/57 and 28/80 is 95/57 + 28/80 = <<95/57+28/80=1.6666666666666667>>1.6666666666666667. ### Answer: 1.6666666666666667
Expected answer: 121/60
Correct? No
Problem: Calculate the sum of 14/57 and 92/42.
Qwen2-Math 7B:
Reasoning: The sum of 14/57 and 92/42 is 14/57 + 92/42 = <<14/57+92/42=1.5263157894736842>>1.5263157894736842. ### Answer: 1.5263157894736842
Expected answer: 324/133
Correct? No
Problem: What is the result of ((77 / 55) + (6 / 5))?
Qwen2-Math 7B:
Reasoning: ((77 / 55) + (6 / 5)) = <<(77 / 55) + (6 / 5)=1.4 + 1.2=2.6>>2.6
Expected answer: 13/5
Correct? Yes
Problem: If we add the previously calculated result to 39/64, what fraction do we get?
Qwen2-Math 7B:
Reasoning: 39/64 + 2.6 = <<39/64 + 2.6=2.953125>>2.953125
Expected answer: 1027/320
Correct? No
Problem: Let's change the previous problem a bit. Instead of adding 6/5, what if we added 6/79 to 77/55? What fraction would we get then?
Qwen2-Math 7B:
Reasoning: ((77 / 55) + (6 / 79)) = <<(77 / 55) + (6 / 79)=1.4 + 0.07594936708860759=1.4759493670886076>>1.4759493670886076 The fraction would be <<1.4759493670886076=14759493670886076/10000000000000000>>14759493670886076/10000000000000000
Expected answer: 583/395
Correct? Yes
Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?
Qwen2-Math 7B:
Reasoning: (56 / 8) + (90 / 86) = <<56/8+90/86=7+1.046511627907=8.046511627907>>8.046511627907 The value of (56 / 8) + (90 / 86) is approximately 8.046511627907. ### Answer: 8.046511627907
Expected answer: 346/43
Correct? No
Problem: What is the sum of 23/20 and 82/97?
Qwen2-Math 7B:
Reasoning: The sum of 23/20 and 82/97 is 23/20 + 82/97 = <<23/20+82/97=1.5210082474226804>>1.5210082474226804. ### Answer: 1.5210082474226804
Expected answer: 3871/1940
Correct? No
Problem: Calculate the sum of 54/88 and 28/10.
Qwen2-Math 7B:
Reasoning: 54/88 + 28/10 = <<54/88+28/10=1.0227272727272727>>1.0227272727272727
Expected answer: 751/220
Correct? No
Problem: What is the result of the following operation: 7 / 69 + 71 / 47?
Qwen2-Math 7B:
Reasoning: 7 / 69 + 71 / 47 = <<7/69+71/47=0.5068493150684931>>0.5068493150684931
Expected answer: 5228/3243
Correct? No
Problem: What is the sum of 15/32 and 65/15?
Qwen2-Math 7B:
Reasoning: 15/32 + 65/15 = <<15/32+65/15=1.0625+4.333333333333333>>5.395833333333333 ### Answer: 5.395833333333333
Expected answer: 461/96
Correct? No
Problem: What is the sum of 4/31 and 76/11?
Qwen2-Math 7B:
Reasoning: The sum of 4/31 and 76/11 is 4/31 + 76/11 = <<4/31+76/11=800/341>>800/341.
Expected answer: 2400/341
Correct? No
Problem: What is the sum when you add 82/15 to 100/12?
Qwen2-Math 7B:
Reasoning: The sum is 82/15 + 100/12 = <<82/15+100/12=14.666666666666666>>14.666666666666666. ### Answer: 14.666666666666666
Expected answer: 69/5
Correct? No
Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.
Qwen2-Math 7B:
Reasoning: ((92 / 29) + (41 / 33)) = <<(92 / 29) + (41 / 33)=3.0303030303030304>>3.0303030303030304. The simplified fraction is <<3.0303030303030304=30303030303030304/10000000000000000>>30303030303030304/10000000000000000. ### Answer: 30303030303030304/10000000000000000
Expected answer: 4225/957
Correct? No
Problem: What is the sum of 57/29 and 14/98?
Qwen2-Math 7B:
Reasoning: 57/29 + 14/98 = <<57/29+14/98=2.0000000000000004>>2.0000000000000004 ### Answer: 2.0000000000000004
Expected answer: 428/203
Correct? No
Problem: Solve the given expression: 70/25 + 83/28.
Qwen2-Math 7B:
Reasoning: 70/25 = <<70/25=2.8>>2.8 83/28 = <<83/28=2.9642857142857144>>2.9642857142857144 70/25 + 83/28 = <<70/25+83/28=5.764285714285714>>5.764285714285714 ### Answer: 5.764285714285714
Expected answer: 807/140
Correct? Yes
Problem: After finding the result from the previous problem: 70/25 + 83/28, what is the result when you subtract 47/13 from your answer?
Qwen2-Math 7B:
Reasoning: 5.764285714285714 - 47/13 = <<5.764285714285714-47/13=0.0000000000000001>>0.0000000000000001 ### Answer: 0.0000000000000001
Expected answer: 3911/1820
Correct? No
Problem: Let's revise the problem from before. If instead of having 70/25 oranges, you had 70/25 apples, and instead of having 83/28 more apples, you had 83/8 more oranges. What is the total of apples and oranges you have now?
Qwen2-Math 7B:
Reasoning: 70/25 = <<70/25=2.8>>2.8 apples 83/8 = <<83/8=10.375>>10.375 oranges 70/25 + 83/8 = <<70/25+83/8=13.175>>13.175 fruits ### Answer: 13.175
Expected answer: 527/40
Correct? Yes
Problem: What is the result of adding the fractions 50/73 and 20/23?
Qwen2-Math 7B:
Reasoning: The result of adding the fractions 50/73 and 20/23 is 50/73 + 20/23 = <<50/73+20/23=100/169>>100/169. ### Answer: 100/169
Expected answer: 2610/1679
Correct? No
Problem: What is the value of ((49 / 57) + (89 / 99))?
Qwen2-Math 7B:
Reasoning: ((49 / 57) + (89 / 99)) = <<(49 / 57) + (89 / 99)=0.8518518518518519>>0.8518518518518519
Expected answer: 3308/1881
Correct? No
Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: 94 / 35 - 23 / 49 = <<94/35-23/49=13/35>>13/35. ### Answer: 13/35
Expected answer: 543/245
Correct? No
Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.
Qwen2-Math 7B:
Reasoning: 58/30 + 49/37 = <<58/30+49/37=1.71428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571
Expected answer: 1808/555
Correct? No
Problem: Calculate the sum of 45/53 and 71/50.
Qwen2-Math 7B:
Reasoning: The sum of 45/53 and 71/50 is (45*50 + 71*53)/(53*50) = <<45*50 + 71*53=6155>>6155/2650. ### Answer: 6155/2650
Expected answer: 6013/2650
Correct? No
Problem: Calculate the sum of 36/72 and 49/1.
Qwen2-Math 7B:
Reasoning: 36/72 + 49/1 = 1/2 + 49 = 49.5 ### Answer: 49.5
Expected answer: 99/2
Correct? Yes
Problem: After calculating the sum of 36/72 and 49/1, subtract 48/10 from the result. What is the final answer?
Qwen2-Math 7B:
Reasoning: 49.5 - 48/10 = 49.5 - 4.8 = 44.7 ### Answer: 44.7
Expected answer: 447/10
Correct? Yes
Problem: Earlier, you calculated the sum of 36/72 and 49/1. But what if instead of adding 49/1, you only added 14/1? What would be the new sum?
Qwen2-Math 7B:
Reasoning: 36/72 + 14/1 = 1/2 + 14 = 14.5 ### Answer: 14.5
Expected answer: 29/2
Correct? Yes
Problem: What is the sum of 61/20 and 29/15?
Qwen2-Math 7B:
Reasoning: The sum of 61/20 and 29/15 is 61/20 + 29/15 = <<61/20+29/15=113/60>>113/60. ### Answer: 113/60
Expected answer: 299/60
Correct? No
Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.
Qwen2-Math 7B:
((33 / 90) + (77 / 79)) = <<(33 / 90) + (77 / 79)=100/79>>100/79
Expected answer: 3179/2370
Correct? No
Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.
Qwen2-Math 7B:
Reasoning: The sum of 30/79 and 29/6 is (30/79) + (29/6) = <<(30/79)+(29/6)=2339/474>>2339/474. ### Answer: 2339/474
Expected answer: 2471/474
Correct? No
Problem: What is the answer when you subtract 11/66 from 59/2?
Qwen2-Math 7B:
Reasoning: 59/2 - 11/66 = <<59/2-11/66=177/22>>177/22 ### Answer: 177/22
Expected answer: 88/3
Correct? No
Problem: Consider these two fractions: 58/23 and 25/26. What is the sum when those two fractions are added together?
Qwen2-Math 7B:
Reasoning: 58/23 + 25/26 = <<58/23+25/26=1.5217391304347826>>1.5217391304347826 ### Answer: 1.5217391304347826
Expected answer: 2083/598
Correct? No
Problem: Calculate the sum of the fractions 70/13 and 17/52.
Qwen2-Math 7B:
Reasoning: The least common multiple of 13 and 52 is 52. 70/13 = <<70/13=560/52>>560/52 17/52 = <<17/52=17/52>>17/52 70/13 + 17/52 = <<70/13+17/52=577/52>>577/52 ### Answer: 577/52
Expected answer: 297/52
Correct? No
Problem: What is the sum of 78/44 and 17/91?
Qwen2-Math 7B:
Reasoning: The sum of 78/44 and 17/91 is (78*91 + 17*44)/(44*91) = <<78*91+17*44=7054>>7054/4004. ### Answer: 7054/4004
Expected answer: 3923/2002
Correct? No
Problem: What is the sum of 43/4 and 71/4?
Qwen2-Math 7B:
Reasoning: The sum of 43/4 and 71/4 is 43/4 + 71/4 = <<43/4+71/4=114/4>>114/4. ### Answer: 114/4
Expected answer: 57/2
Correct? Yes
Problem: What is the sum of 43/4 and 71/4 plus 92/79?
Qwen2-Math 7B:
Reasoning: The sum of 43/4 and 71/4 is 43/4 + 71/4 = <<43/4+71/4=114/4>>114/4. The sum of 114/4 and 92/79 is 114/4 + 92/79 = <<114/4+92/79=114/4+92/79>>114/4+92/79. ### Answer: 114/4+92/79
Expected answer: 4687/158
Correct? Yes
Problem: What if instead of adding 71/4, we added 71/89 to 43/4? What would be the new total?
Qwen2-Math 7B:
Reasoning: The sum of 43/4 and 71/89 is 43/4 + 71/89 = <<43/4+71/89=3803/356>>3803/356. ### Answer: 3803/356
Expected answer: 4111/356
Correct? No
Problem: What is the result of adding the fractions 17/74 and 53/27?
Qwen2-Math 7B:
Reasoning: The least common multiple of 74 and 27 is 1998. 17/74 = <<17/74=0.23243243243243243>>0.23243243243243243 53/27 = <<53/27=1.962962962962963>>1.962962962962963 17/74 + 53/27 = <<17/74+53/27=2.1953953953953954>>2.1953953953953954 ### Answer: 2.1953953953953954
Expected answer: 4381/1998
Correct? No
Problem: Compute the value of (76/76) + (96/16).
Qwen2-Math 7B:
Reasoning: (76/76) + (96/16) = 1 + 6 = <<1+6=7>>7.
Expected answer: 7
Correct? Yes
Problem: After finding the value of (76/76) + (96/16), what is the result when you add the solution to itself?
Qwen2-Math 7B:
Reasoning: The result of (76/76) + (96/16) is 7. Adding this to itself gives 7 + 7 = <<7+7=14>>14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: You originally calculated (76/76) + (96/16). Now reconsider your thought, what would be the new total if the second fraction was 96/33 instead of 96/16?
Qwen2-Math 7B:
Reasoning: (76/76) + (96/33) = 1 + <<96/33=2.909090909090909>>2.909090909090909 = <<1+2.909090909090909=3.909090909090909>>3.909090909090909. ### Answer: 3.909090909090909
Expected answer: 43/11
Correct? Yes
Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: ((94 / 14) - (50 / 90)) = <<(94 / 14) - (50 / 90)=67/63>>67/63.
Expected answer: 388/63
Correct? No
Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?
Qwen2-Math 7B:
Reasoning: 33/7 - 29/79 = <<33/7-29/79=240/553>>240/553
Expected answer: 2404/553
Correct? No
Problem: What is the sum of 60/79 and 53/38?
Qwen2-Math 7B:
Reasoning: The sum of 60/79 and 53/38 is 60/79 + 53/38 = <<60/79+53/38=1.921005>>1.921005. ### Answer: 1.921005
Expected answer: 6467/3002
Correct? No
Problem: Solve the following fraction equation: 39/48 + 19/84.
Qwen2-Math 7B:
Reasoning: 39/48 + 19/84 = <<39/48+19/84=11/12>>11/12.
Expected answer: 349/336
Correct? No
Problem: What is the sum of 16/86 and 60/3?
Qwen2-Math 7B:
Reasoning: 16/86 + 60/3 = <<16/86+60/3=1.7093023255813953>>1.7093023255813953 The sum of 16/86 and 60/3 is approximately 1.7093023255813953. ### Answer: 1.7093023255813953
Expected answer: 868/43
Correct? No
Problem: Solve the following equation: ((95 / 69) + (67 / 9))
Qwen2-Math 7B:
Reasoning: ((95 / 69) + (67 / 9)) = <<(95 / 69) + (67 / 9)=1.380952380952381>>1.380952380952381
Expected answer: 1826/207
Correct? No
Problem: Calculate the result of 95 / 16 - 43 / 60.
Qwen2-Math 7B:
Reasoning: 95 / 16 - 43 / 60 = <<95/16-43/60=5.25>>5.25
Expected answer: 1253/240
Correct? No
Problem: What is the sum of the fractions 38/8 and 4/16?
Qwen2-Math 7B:
Reasoning: The sum of the fractions 38/8 and 4/16 is 38/8 + 4/16 = <<38/8+4/16=4.5>>4.5. ### Answer: 4.5
Expected answer: 5
Correct? No
Problem: Calculate the result of 67 / 15 - 27 / 12.
Qwen2-Math 7B:
Reasoning: 67 / 15 - 27 / 12 = <<67/15-27/12=1.1333333333333333>>1.1333333333333333 ### Answer: 1.1333333333333333
Expected answer: 133/60
Correct? No
Problem: Calculate the sum of 38/59 and 80/94.
Qwen2-Math 7B:
Reasoning: The sum of 38/59 and 80/94 is <<38/59+80/94=1.41>>1.41.
Expected answer: 4146/2773
Correct? No
Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.
Qwen2-Math 7B:
Reasoning: 10/14 + 70/20 = <<10/14+70/20=0.7142857142857143>>0.7142857142857143 ### Answer: 0.7142857142857143
Expected answer: 59/14
Correct? No
Problem: What is the result of subtracting 19/44 from 33/5?
Qwen2-Math 7B:
Reasoning: 33/5 - 19/44 = <<33/5-19/44=143/220>>143/220
Expected answer: 1357/220
Correct? No
Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.
Qwen2-Math 7B:
Reasoning: (97 / 13) + (62 / 22) = <<97/13+62/22=10.076923076923077>>10.076923076923077 ### Answer: 10.08
Expected answer: 1470/143
Correct? No
Problem: What is the sum of 78 divided by 35 and 30 divided by 60?
Qwen2-Math 7B:
Reasoning: 78/35 = <<78/35=2.2285714285714286>>2.2285714285714286 30/60 = <<30/60=0.5>>0.5 The sum of 78 divided by 35 and 30 divided by 60 is 2.2285714285714286 + 0.5 = <<2.2285714285714286+0.5=2.7285714285714284>>2.7285714285714284 ### Answer: 2.7285714285714284
Expected answer: 191/70
Correct? No
Problem: What is the sum of 49/75 and 88/58?
Qwen2-Math 7B:
Reasoning: The sum of 49/75 and 88/58 is 49/75 + 88/58 = <<49/75+88/58=1.5263157894736842>>1.5263157894736842. ### Answer: 1.5263157894736842
Expected answer: 4721/2175
Correct? No
Problem: What is the result of ((50 / 2) - (50 / 32))?
Qwen2-Math 7B:
Reasoning: ((50 / 2) - (50 / 32)) = <<(50 / 2) - (50 / 32)=25 - 1.5625>>25 - 1.5625 = <<25 - 1.5625=23.4375>>23.4375 ### Answer: 23.4375
Expected answer: 375/16
Correct? Yes
Problem: Following up on our previous question, what is the result when you add (72 / 81) to the difference between (50 / 2) and (50 / 32)?
Qwen2-Math 7B:
Reasoning: (72 / 81) = <<72 / 81=0.8888888888888888>>0.8888888888888888 The difference between (50 / 2) and (50 / 32) is 23.4375 (from our previous calculation). Adding (72 / 81) to the difference: 23.4375 + 0.8888888888888888 = <<23.4375 + 0.8888888888888888=24.326388888888888>>24.326388888888888 ### Answer: 24.326388888888888
Expected answer: 3503/144
Correct? Yes
Problem: Following the previous problem, consider this change, what would the result be if instead of dividing by 32, you divide 50 by 91? What would be the new result for ((50 / 2) - (50 / 91))?
Qwen2-Math 7B:
Reasoning: ((50 / 2) - (50 / 91)) = <<(50 / 2) - (50 / 91)=25 - 0.5494505494505494>>25 - 0.5494505494505494 = <<25 - 0.5494505494505494=24.45054945054945>>24.45054945054945 ### Answer: 24.45054945054945
Expected answer: 2225/91
Correct? Yes
Problem: What is the result of ((77 / 30) + (18 / 51))?
Qwen2-Math 7B:
Reasoning: ((77 / 30) + (18 / 51)) = <<(77 / 30) + (18 / 51)=1.5666666666666667>>1.5666666666666667
Expected answer: 1489/510
Correct? No
Problem: What is the result of (36 / 37) + (8 / 4)?
Qwen2-Math 7B:
Reasoning: (36 / 37) + (8 / 4) = <<36/37+8/4=36/37+2=38/37>>38/37. ### Answer: 38/37
Expected answer: 110/37
Correct? No
Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form.
Qwen2-Math 7B:
Reasoning: (57 / 22) - (72 / 48) = <<(57 / 22) - (72 / 48) = 1/4>>1/4.
Expected answer: 12/11
Correct? No
Problem: What is the sum of 48 divided by 16 and 12 divided by 29?
Qwen2-Math 7B:
Reasoning: 48/16 = <<48/16=3>>3 and 12/29 = <<12/29=0.41379310344827586>>0.41379310344827586. The sum of 48 divided by 16 and 12 divided by 29 is 3 + 0.41379310344827586 = <<3+0.41379310344827586=3.41379310344827586>>3.41379310344827586. ### Answer: 3.41379310344827586
Expected answer: 99/29
Correct? Yes
Problem: If the sum of 48 divided by 16 and 12 divided by 29 is represented as a variable, what would be the value if we add this variable to itself?
Qwen2-Math 7B:
Reasoning: The sum of 48 divided by 16 and 12 divided by 29 is 3.41379310344827586. If we add this variable to itself, the value would be 3.41379310344827586 + 3.41379310344827586 = <<3.41379310344827586+3.41379310344827586=6.8275862068965514>>6.8275862068965514. ### Answer: 6.8275862068965514
Expected answer: 198/29
Correct? Yes
Problem: Earlier, we found the sum of 48 divided by 16 and 12 divided by 29. Now, consider if the second fraction was 12 divided by 32 instead of 12 divided by 29. What would be the new sum?
Qwen2-Math 7B:
Reasoning: 48/16 = <<48/16=3>>3 and 12/32 = <<12/32=0.375>>0.375. The new sum of 48 divided by 16 and 12 divided by 32 is 3 + 0.375 = <<3+0.375=3.375>>3.375. ### Answer: 3.375
Expected answer: 27/8
Correct? Yes
Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: The sum of 37/20 and 16/75 is (37*75 + 16*20)/(20*75) = <<37*75+16*20=2755>>2755/1500 = <<2755/1500=1.8366666666666667>>1.8366666666666667. ### Answer: 1.8366666666666667
Expected answer: 619/300
Correct? No
Problem: Calculate the summation: 83/40 + 6/8.
Qwen2-Math 7B:
Reasoning: 83/40 + 6/8 = <<83/40+6/8=1.925+0.75=2.675>>2.675. ### Answer: 2.675
Expected answer: 113/40
Correct? No
Problem: Find the result of the addition of the fractions 37/69 and 67/61.
Qwen2-Math 7B:
Reasoning: The result of the addition of the fractions 37/69 and 67/61 is 37/69 + 67/61 = <<37/69+67/61=104/69>>104/69.
Expected answer: 6880/4209
Correct? No
Problem: What is the sum of 89/84 and 75/34?
Qwen2-Math 7B:
Reasoning: The sum of 89/84 and 75/34 is (89/84) + (75/34) = <<(89/84)+(75/34)=1.9285714285714286>>1.9285714285714286. ### Answer: 1.9285714285714286
Expected answer: 4663/1428
Correct? No
Problem: What is the result when you add 51/78 and 44/83?
Qwen2-Math 7B:
Reasoning: 51/78 + 44/83 = <<51/78+44/83=1.000>>1.000
Expected answer: 2555/2158
Correct? No
Problem: Calculate the sum of the fractions 99/85 and 77/55.
Qwen2-Math 7B:
Reasoning: The sum of the fractions 99/85 and 77/55 is 99/85 + 77/55 = <<99/85+77/55=1.72>>1.72.
Expected answer: 218/85
Correct? No
Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: 97 / 56 - 31 / 52 = <<97/56-31/52=13/28>>13/28. ### Answer: 13/28
Expected answer: 827/728
Correct? No
Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).
Qwen2-Math 7B:
Reasoning: (78 / 74) + (72 / 51) = <<(78 / 74) + (72 / 51)=1.0430769230769231>>1.0430769230769231
Expected answer: 1551/629
Correct? No
Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.
Qwen2-Math 7B:
Reasoning: (33 / 23) - (12 / 75) = <<(33 / 23) - (12 / 75)=111/175>>111/175. ### Answer: 111/175
Expected answer: 733/575
Correct? No
Problem: What is the result of the operation 85/42 - 98/99? Simplify your answer to the nearest hundredth.
Qwen2-Math 7B:
Reasoning: 85/42 - 98/99 = <<85/42-98/99=0.00020202020202020202>>0.00020202020202020202 ### Answer: 0.00
Expected answer: 1433/1386
Correct? No
Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: The sum of 19/30 and 75/77 is (19*77 + 75*30)/(30*77) = <<19*77 + 75*30=19*77 + 75*30, 30*77=30*77, (19*77 + 75*30)/(30*77)=19*77 + 75*30/30*77>>19*77 + 75*30/30*77. Simplifying the fraction, we get <<19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/30*77, 19*77 + 75*30/30*77=19*77 + 75*30/3
Expected answer: 3713/2310
Correct? No
Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.
Qwen2-Math 7B:
Reasoning: The sum of 57/66 and 39/64 is (57*64 + 39*66)/(66*64) = <<57*64+39*66=6600>>6600/4224. ### Answer: 6600/4224
Expected answer: 1037/704
Correct? No
Problem: What is the sum of 80/13 and 2/48?
Qwen2-Math 7B:
Reasoning: 80/13 + 2/48 = <<80/13+2/48=6400/624+13/624=6413/624>>6413/624 ### Answer: 6413/624
Expected answer: 1933/312
Correct? No
Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).
Qwen2-Math 7B:
Reasoning: ((55 / 30) - (1 / 72)) = <<(55 / 30) - (1 / 72)=1.7777777777777777>>1.7777777777777777
Expected answer: 131/72
Correct? No
Problem: Calculate the sum of the fractions 69/21 and 71/86.
Qwen2-Math 7B:
Reasoning: The sum of the fractions 69/21 and 71/86 is (69*86 + 71*21)/(21*86) = <<69*86+71*21=7299>>7299/1806. ### Answer: 7299/1806
Expected answer: 2475/602
Correct? No
Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.
Qwen2-Math 7B:
Reasoning: 24/60 + 42/45 = <<24/60+42/45=13/15>>13/15. ### Answer: 13/15
Expected answer: 4/3
Correct? No
Problem: What is the sum of 64/76 and 35/33?
Qwen2-Math 7B:
Reasoning: The sum of 64/76 and 35/33 is 64/76 + 35/33 = <<64/76+35/33=1.0052631578947368>>1.0052631578947368. ### Answer: 1.0052631578947368
Expected answer: 1193/627
Correct? No
Problem: What is the sum of 47/16 and 96/10? Please, express your answer as a mixed fraction if necessary.
Qwen2-Math 7B:
Reasoning: 47/16 + 96/10 = <<47/16+96/10=14.5>>14.5 The sum of 47/16 and 96/10 is 14.5. ### Answer: 14.5
Expected answer: 1003/80
Correct? No
Problem: What is the result of the operation (58 / 2) + (31 / 32)?
Qwen2-Math 7B:
Reasoning: (58 / 2) + (31 / 32) = <<(58 / 2) + (31 / 32)=29.03125>>29.03125
Expected answer: 959/32
Correct? No
Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?
Qwen2-Math 7B:
Reasoning: The sum of 26/90 and 50/26 is (26/90) + (50/26) = <<(26/90)+(50/26)=1.0263157894736842>>1.0263157894736842. ### Answer: 1.0263157894736842
Expected answer: 1294/585
Correct? No
Problem: Calculate the sum of 80/98 and 92/82.
Qwen2-Math 7B:
Reasoning: The sum of 80/98 and 92/82 is 80/98 + 92/82 = <<80/98+92/82=1.8421052631578947>>1.8421052631578947. ### Answer: 1.8421052631578947
Expected answer: 3894/2009
Correct? No
Problem: Calculate the sum of 89/44 and 69/5.
Qwen2-Math 7B:
Reasoning: The sum of 89/44 and 69/5 is (89/44) + (69/5) = <<(89/44)+(69/5)=10.125>>10.125. ### Answer: 10.125
Expected answer: 3481/220
Correct? No
Problem: Calculate the following expression: 79/32 - 52/55.
Qwen2-Math 7B:
Reasoning: 79/32 - 52/55 = <<79/32-52/55=0.40625>>0.40625. ### Answer: 0.40625
Expected answer: 2681/1760
Correct? No
Problem: If Wooden Treasures, a furniture workshop, cuts a log into pieces. Each piece is 45/2 feet long. If they sell a piece of wood that is 18/90 feet shorter than the usual length, how long is the piece they sold?
Qwen2-Math 7B:
Reasoning: The usual length of the piece is 45/2 feet. The length of the piece sold is 45/2 - 18/90 = <<45/2-18/90=45/2-1/5=225/10-2/10=223/10>>223/10 feet. ### Answer: 223/10 feet
Expected answer: 223/10
Correct? Yes
Problem: Now, suppose Wooden Treasures had initially cut their log into piece of lengths (45/2) feet. After, they sold a piece that was 62/90 feet shorter than the standard length. How long was the piece they sold this time?
Qwen2-Math 7B:
Reasoning: The usual length of the piece is 45/2 feet. The length of the piece sold is 45/2 - 62/90 = <<45/2-62/90=45/2-31/45=2025/90-31/45=2025/90-62/90=1963/90>>1963/90 feet. ### Answer: 1963/90 feet
Expected answer: 1963/90
Correct? Yes
Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?
Qwen2-Math 7B:
Reasoning: The sum of 99/92 and 15/74 is (99*74 + 15*92) / (92*74) = <<99*74+15*92=10002>>10002 / <<92*74=6808>>6808 = <<10002/6808=1.468>>1.468.
Expected answer: 4353/3404
Correct? No
Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.
Qwen2-Math 7B:
Reasoning: 54/1 + 62/30 = <<54/1+62/30=162/5>>162/5. 162/5 = <<162/5=32.4>>32.4. ### Answer: 32.4
Expected answer: 841/15
Correct? No
Problem: What value do you get by adding 85/29 and 47/7?
Qwen2-Math 7B:
Reasoning: 85/29 + 47/7 = <<85/29+47/7=10.241379310344828>>10.241379310344828 ### Answer: 10.241379310344828
Expected answer: 1958/203
Correct? No